A bag contains two red balls and three green balls. Three balls are drawn form the bag, one after an

Question

A bag contains two red balls and three green balls. Three balls are drawn form the bag, one after another without replacement. Find the probability that

exactly one of the balls drawn is red.
exactly one red ball is drawn, given that the first ball drawn is green,
the first ball drawn is green, given that exactly one red ball is drawn.

Are the events ‘exactly one of the balls drawn is red’ and ‘first ball drawn is green’ independent?

Accepted Answer

(i) $\frac{3}{5}$ (ii) $\frac{2}{3}$ (iii) $\frac{2}{3}$; Not independent

HCI Probability Notes Example 24

HCI Probability Notes Example 24

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